Renormalization tools to study the loss of stability in the Area Preserving Maps

The renormalization method for area preserving maps was introduced by R. S. MacKay in 1982 to study critical invariant circles. Similar ideas appear in the study of critical phenomena in physics (MacKay 1983). The renormalization scenario for the breakdown of golden invarian circles in the twist map...

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Autor principal: Olvera, Arturo
Formato: Objeto de conferencia
Lenguaje:Español
Publicado: 2011
Materias:
Ciencias Astronómicas
preserving maps
renormalization scenario
golden invarian circles
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/167655
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-167655
record_format dspace
spelling I19-R120-10915-1676552024-07-01T20:02:06Z http://sedici.unlp.edu.ar/handle/10915/167655 Renormalization tools to study the loss of stability in the Area Preserving Maps Olvera, Arturo 2011-07 2012 2024-07-01T17:17:42Z es Ciencias Astronómicas preserving maps renormalization scenario golden invarian circles The renormalization method for area preserving maps was introduced by R. S. MacKay in 1982 to study critical invariant circles. Similar ideas appear in the study of critical phenomena in physics (MacKay 1983). The renormalization scenario for the breakdown of golden invarian circles in the twist map is described in this paper. In the first part we describe the renormalization methods introduced by MacKay. In the second part, the obstruction criterion (Olvera & Simó 1987) is described and we show that the renormalization group and the obstruction criterion can work together (De la Llave & Olvera 2006). Facultad de Ciencias Astronómicas y Geofísicas Objeto de conferencia Objeto de conferencia http://creativecommons.org/licenses/by-nc-sa/4.0/ Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0) application/pdf 291-305
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Español
topic Ciencias Astronómicas
preserving maps
renormalization scenario
golden invarian circles
spellingShingle Ciencias Astronómicas
preserving maps
renormalization scenario
golden invarian circles
Olvera, Arturo
Renormalization tools to study the loss of stability in the Area Preserving Maps
topic_facet Ciencias Astronómicas
preserving maps
renormalization scenario
golden invarian circles
description The renormalization method for area preserving maps was introduced by R. S. MacKay in 1982 to study critical invariant circles. Similar ideas appear in the study of critical phenomena in physics (MacKay 1983). The renormalization scenario for the breakdown of golden invarian circles in the twist map is described in this paper. In the first part we describe the renormalization methods introduced by MacKay. In the second part, the obstruction criterion (Olvera & Simó 1987) is described and we show that the renormalization group and the obstruction criterion can work together (De la Llave & Olvera 2006).
format Objeto de conferencia
Objeto de conferencia
author Olvera, Arturo
author_facet Olvera, Arturo
author_sort Olvera, Arturo
title Renormalization tools to study the loss of stability in the Area Preserving Maps
title_short Renormalization tools to study the loss of stability in the Area Preserving Maps
title_full Renormalization tools to study the loss of stability in the Area Preserving Maps
title_fullStr Renormalization tools to study the loss of stability in the Area Preserving Maps
title_full_unstemmed Renormalization tools to study the loss of stability in the Area Preserving Maps
title_sort renormalization tools to study the loss of stability in the area preserving maps
publishDate 2011
url http://sedici.unlp.edu.ar/handle/10915/167655
work_keys_str_mv AT olveraarturo renormalizationtoolstostudythelossofstabilityintheareapreservingmaps
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